GeoGebra


Pascal Command

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Pascal[ <Number of Successes>, <Probability of Success> ]
Returns a bar graph of a Pascal distribution.
Parameters:
Number of Successes: number of independent Bernoulli trials that must be successful
Probability of Success: probability of success in one trial
Pascal[ <Number of Successes>, <Probability of Success>, <Boolean Cumulative> ]
Returns a bar graph of a Pascal distribution when Cumulative = false.
Returns a graph of a cumulative Pascal distribution when Cumulative = true.
First two parameters are same as above.
Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ]
Let X be a Pascal random variable and v the variable value.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
First two parameters are same as above.


CAS Syntax

Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ]
Let X be a Pascal random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
Example:
The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \(\frac{1}{6}\), the variable value is v = 2 and "Cumulative" = false.
Pascal[ n, p, v, false] yields \(\frac{25}{216}\)